Solid of Revolution and Cross-sectional Area

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Questions and Answers

What is the cross-sectional area of a solid of revolution?

  • A curve
  • A function of x
  • A function of y
  • Both B and C (correct)

What is the method used to determine the cross-sectional area of a solid of revolution?

  • The method of disks
  • The method of rings (correct)
  • The method of curves
  • The method of axes

If we rotate about a horizontal axis, what is the cross-sectional area a function of?

  • x (correct)
  • y
  • Both x and y
  • Neither x nor y

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Study Notes

  • A solid of revolution is a curve that has been rotated about a given axis.
  • The cross-sectional area of a solid of revolution is a function of the axis of rotation.
  • If we rotate about a horizontal axis, the cross-sectional area is a function of (x).
  • If we rotate about a vertical axis, the cross-sectional area is a function of (y).
  • The method of disks or the method of rings can be used to determine the cross-sectional area of a solid of revolution.

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